2567885232 has 240 divisors, whose sum is σ = 7789501440. Its totient is φ = 726696960.

The previous prime is 2567885197. The next prime is 2567885239. The reversal of 2567885232 is 2325887652.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (1612800) is a multiple of the sum of its prime factors (512).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2567885239) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6278244 + ... + 6278652.

It is an arithmetic number, because the mean of its divisors is an integer number (32456256).

Almost surely, 2^2567885232 is an apocalyptic number.

2567885232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2567885232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3894750720).

2567885232 is an abundant number, since it is smaller than the sum of its proper divisors (5221616208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2567885232 is a wasteful number, since it uses less digits than its factorization.

2567885232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 495 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 48.

The square root of 2567885232 is about 50674.3054417128. The cubic root of 2567885232 is about 1369.3838549266.

The spelling of 2567885232 in words is "two billion, five hundred sixty-seven million, eight hundred eighty-five thousand, two hundred thirty-two".